Question

Square root Lnx/Ln square root of x= 2 How do I solve this?

Answer 1

Square and exponentiate.

Answer 2

Square what?

Answer 3

Everything

Answer 4

No idea?

Answer 5

I still have no idea how to figure it out.. sorry logs and natural logs confuse me.

Answer 6

do you think \[\frac{\sqrt{\ln{x}}}{\ln{\sqrt{x}}}=2\]

Answer 7

\[\frac{\sqrt{\ln{x}}}{\ln{\sqrt{x}}}=2\quad,\quad x>1\]
\[\frac{\sqrt{\ln{x}}}{0.5\cdot\ln{x}}=2\]
\[\frac{\sqrt{\ln{x}}}{\ln{x}}=1\quad,\quad y=\sqrt{\ln{x}}\]
\[\frac{y}{y^2}=1\quad\Rightarrow\quad y=1\quad\Rightarrow\quad x=e\]

Answer 8

Squaring gives ln x = (ln x)^2 true for x = 1 or e

We have to discard 1 because division by 0.